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3 years ago

How to divide (x^2+5x-36)÷(x-4)

Mathematics

1 answer:

mr_godi [17]3 years ago

4 0

Answer:

x + 9

Step-by-step explanation:

Since the divisor is in the form of x - c, use what is called Synthetic Division. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 5 -36

↓ 4 36

----------------

1 9 0 → x + 9

You start by placing the c in the top left corner, then list all the coefficients of your dividend [x² + 5x - 36]. You bring down the original term closest to c, then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have NO REMAINDER. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x, and the 9 follows right behind it, giving you the other factor of x + 9.

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3 years ago

Multiply and simplify: –5gh4 • (–2g3h5)

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3 years ago

Can someone help me solve the inequality-2x+4>8 with the steps? Thanks

stellarik [79]

$\huge\text{Hey there!}$

$\rm{-2x + 4 > 8}$

$\large\textsf{SUBTRACT 4 to BOTH SIDES}$

$\rm{-2x + 4 - 4 > 8 - 4}$

$\large\textsf{CANCEL puts 4 - 4 because that gives you 0}$

$\large\textsf{KEEP: 8 - 4 because that helps solve for the x-value}$

$\rm{8 - 4 = \boxed{\bf 4}}$

$\rm{NEW\ EQUATION: -2x > 4}$

$\large\textsf{DIVIDE -2 to BOTH SIDES}$

$\mathsf{\dfrac{-2}{-2}>\dfrac{4}{-2}}$

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$\mathsf{KEEP: \dfrac{4}{-2} \ because \ it \ helps \you \ compare\ to \ the \ x-value }$

$\mathsf{\dfrac{4}{-2} = \boxed{\bf -2}}$

$\rm{\bold{x < -2 }}$

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$\boxed{\boxed{\large\textsf{Answer: } \mathsf{\bf x < -2}}}\huge\checkmark$

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8 0

3 years ago

Question 1(Multiple Choice Worth 1 points)

Stolb23 [73]

so, they already used 4,885.78 this month, but whatever all five family members can use total for a month is 7,250.50, so since they already used 4,885.78, they have left 7,250.50 - 4,885.78 = 2364.72.

$\bf \begin{array}{lllllll} \textit{amount all five}&&\textit{amount they}&\textit{must be}&\textit{amount allowed}\\ \textit{members can use}&&\textit{already used}&\textit{equals or less}&\textit{per month}\\\\ 5x&+&4,885.78&\leqslant&7,250.50 \end{array}$

4 0

4 years ago

Read 2 more answers

What is 2/3 x 4 1/5 as a mixed fraction?

EleoNora [17]

=2/3 x 4 1/5
Change 4 1/5 to improper fraction
=2/3 x 21/5

Multiply the two numerators together and multiply the two denominators together

= (2*21)/(3*5)
=42/15

Convert back to mixed fraction

= 2 12/15
Simplify by dividing 3 into top & bottom

ANSWER:
= 2 4/5 simplest mixed fraction

Hope this helps! :)

6 0

3 years ago

Read 2 more answers